- Preparation theorem
Preparation theorem may refer to:
*
Malgrange preparation theorem
*Weierstrass preparation theorem
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Preparation theorem
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Malgrange preparation theorem — In mathematics, the Malgrange preparation theorem is an analogue of the Weierstrass preparation theorem for smooth functions. It was conjectured by René Thom and proved by B. Malgrange (1962–1963, 1964, 1967). Contents 1 Statement of… … Wikipedia
Weierstrass preparation theorem — In mathematics, the Weierstrass preparation theorem is a tool for dealing with analytic functions of several complex variables, at a given point P. It states that such a function is, up to multiplication by a function not zero at P, a polynomial… … Wikipedia
Weierstrass theorem — Several theorems are named after Karl Weierstrass. These include: *The Weierstrass approximation theorem, also known as the Stone Weierstrauss theorem *The Bolzano Weierstrass theorem, which ensures compactness of closed and bounded sets in R n… … Wikipedia
Théorème de préparation de Weierstrass — Pour les articles homonymes, voir Théorème de Weierstrass. En mathématiques, le théorème de préparation de Weierstrass désignait dans un premier temps un outil utilisé dans la théorie des fonctions analytiques de plusieurs variables complexes. L… … Wikipédia en Français
No teleportation theorem — In quantum information theory, the no teleportation theorem states that quantum information cannot be measured with complete accuracy.FormulationThe term quantum information refers to information stored in the state of a quantum system. Two… … Wikipedia
No-teleportation theorem — In quantum information theory, the no teleportation theorem states that quantum information cannot be measured with complete accuracy. Formulation The term quantum information refers to information stored in the state of a quantum system. Two… … Wikipedia
Hahn–Banach theorem — In mathematics, the Hahn–Banach theorem is a central tool in functional analysis. It allows the extension of bounded linear operators defined on a subspace of some vector space to the whole space, and it also shows that there are enough… … Wikipedia
Seifert–van Kampen theorem — In mathematics, the Seifert–van Kampen theorem of algebraic topology, sometimes just called van Kampen s theorem, expresses the structure of the fundamental group of a topological space X, in terms of the fundamental groups of two open, path… … Wikipedia
Hahn decomposition theorem — In mathematics, the Hahn decomposition theorem, named after the Austrian mathematician Hans Hahn, states that given a measurable space ( X , Sigma;) and a signed measure mu; defined on the sigma; algebra Sigma;, there exist two sets P and N in… … Wikipedia
Kantorovich theorem — The Kantorovich theorem is a mathematical statement on the convergence of Newton s method. It was first stated by Leonid Kantorovich in 1940. Newton s method constructs a sequence of points that with good luck will converge to a solution x of an… … Wikipedia
